Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places.(a) =P>Z0.93(b) =P≤Z1.72(c) =P<−0.57<Z2.06

To calculate these probabilities, you would typically use a standard normal distribution table or a calculator that can compute these probabilities. However, I'll explain how to do it:

(a) P(Z > 0.93) This is the probability that the standard normal variable Z is greater than 0.93. To find this, you would typically look up 0.93 in the Z-table which gives you the probability of P(Z < 0.93). But we want P(Z > 0.93), so we subtract the value from 1 (because the total probability under the curve is 1).

(b) P(Z ≤ 1.72) This is the probability that Z is less than or equal to 1.72. You would look up 1.72 in the Z-table which gives you P(Z < 1.72). Since we want P(Z ≤ 1.72), it's the same value.

(c) P(-0.57 < Z < 2.06) This is the probability that Z is between -0.57 and 2.06. To find this, you would look up both -0.57 and 2.06 in the Z-table to find P(Z < -0.57) and P(Z < 2.06) respectively. The probability that Z is between these two values is P(Z < 2.06) - P(Z < -0.57).

Please note that the exact values depend on the specific Z-table or calculator you're using.